Computing the integral closure of an affine domain

Vasconcelos, Wolmer V.

doi:10.1090/S0002-9939-1991-1055780-6

Computing the integral closure of an affine domain
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by Wolmer V. Vasconcelos

Proc. Amer. Math. Soc. 113 (1991), 633-638

DOI: https://doi.org/10.1090/S0002-9939-1991-1055780-6

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Abstract:

Let $A = k[{x_1}, \ldots ,{x_n}]/P$ be an affine domain over a field $k$, with $P$ given by a set of generators. We give a method to find the defining ideal of its integral closure $B$ as an affine domain $B = k[{y_1}, \ldots ,{y_m}]/Q$.

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